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NEET Sample Paper NEET Sample Test Paper-13

  • question_answer
    The electric potential V at any point \[(x,y,z),\]all in metres in space is given by \[V=4{{x}^{2}}\]volt. The electric field at the point (1,0,2) in volt/metre is

    A)  8 along positive X-axis

    B)  16 along negative Y-axis

    C)  16 along positive X-axis

    D)  8 along, negative X-axis

    Correct Answer: D

    Solution :

     We know that \[E=-\left[ i\frac{\partial V}{\partial x}+j\frac{\partial V}{\partial y}+k\frac{\partial V}{\partial z} \right]\] So, \[=-i\frac{\partial V}{\partial x}=-i\frac{\partial }{\partial x}(4{{x}^{2}})\] \[=-8x\,i\,V\,{{m}^{-1}}\] \[{{E}_{(1,0,2)}}=-8\,i\,V{{m}^{-1}}\]


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